Johns Hopkins University
Foundations of Probability and Random Variables
Johns Hopkins University

Foundations of Probability and Random Variables

Ian McCulloh
Tony Johnson

位教师:Ian McCulloh

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深入了解一个主题并学习基础知识。
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5 周 完成
在 10 小时 一周
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深入了解一个主题并学习基础知识。
中级 等级

推荐体验

5 周 完成
在 10 小时 一周
灵活的计划
自行安排学习进度

您将学到什么

  • Master combinatorial techniques, including permutations, combinations, and multinomial coefficients, to solve counting and probability problems.

  • Apply probability axioms, construct Venn diagrams, and calculate sample space sizes to evaluate probabilities in various scenarios.

  • Utilize Bayes' formula, the multiplication rule, and conditional probability to assess event relationships and solve real-world problems.

  • Analyze discrete and continuous random variables using probability density functions, cumulative distribution functions, and expected values.

要了解的详细信息

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作业

21 项作业

授课语言:英语(English)

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积累特定领域的专业知识

本课程是 Statistical Methods for Computer Science 专项课程 专项课程的一部分
在注册此课程时,您还会同时注册此专项课程。
  • 向行业专家学习新概念
  • 获得对主题或工具的基础理解
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该课程共有6个模块

This course provides a comprehensive introduction to fundamental concepts in probability and statistics, focusing on counting principles, permutations, combinations, and multinomial coefficients. You will explore probability axioms, conditional probabilities, and Bayes’s Formula while using Venn diagrams to visualize events. The course covers random variables, including discrete and continuous types, expected values, and various probability distributions. Practical applications in R programming and data analysis tools will enhance understanding through simulations and real-world problem-solving. By the end, you will be equipped to analyze and interpret statistical data effectively.

涵盖的内容

2篇阅读材料1个插件

This module covers the usefulness of an effective method for counting the number of ways that things can occur. Many problems in probability theory can be solved simply by counting the number of different ways that a certain event can occur.

涵盖的内容

9个视频2篇阅读材料3个作业1个非评分实验室

This module introduces the concept of the probability of an event and then shows how probabilities can be computed in certain situations.

涵盖的内容

9个视频3篇阅读材料4个作业1个非评分实验室

This module explores one of the most important concepts in probability theory, that of conditional probability. The importance of this concept is twofold. First, you will be interested in calculating probabilities when some partial information concerning the result of an experiment is available; in such a situation, the desired probabilities are conditional. Second, even when no partial information is available, conditional probabilities can often be used to compute the desired probabilities more easily.

涵盖的内容

8个视频3篇阅读材料4个作业1个非评分实验室

This module discusses the function of outcomes rather than the actual outcomes themselves. In particular, you will examine random variables that can take on at most a countable number of possible values. You can call these types of variables, discrete random variables.

涵盖的内容

9个视频4篇阅读材料5个作业1个非评分实验室

This module extends the concept of random variables where the outcomes cannot be counted. You will explore probability density functions, cumulative distribution functions, the normal distribution and other common distributions.

涵盖的内容

10个视频4篇阅读材料5个作业1个非评分实验室

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位教师

Ian McCulloh
Johns Hopkins University
17 门课程16,198 名学生
Tony Johnson
Johns Hopkins University
3 门课程1,669 名学生

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